3002148864 has 576 divisors, whose sum is σ = 10946819520. Its totient is φ = 778567680.

The previous prime is 3002148859. The next prime is 3002148869. The reversal of 3002148864 is 4688412003.

3002148864 is a `hidden beast` number, since 300 + 214 + 88 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3002148859) and next prime (3002148869).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3002148869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44808159 + ... + 44808225.

It is an arithmetic number, because the mean of its divisors is an integer number (19004895).

Almost surely, 2^3002148864 is an apocalyptic number.

3002148864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473409760).

3002148864 is an abundant number, since it is smaller than the sum of its proper divisors (7944670656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3002148864 is a wasteful number, since it uses less digits than its factorization.

3002148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3002148864 is about 54791.8685937977. The cubic root of 3002148864 is about 1442.5938434743.

The spelling of 3002148864 in words is "three billion, two million, one hundred forty-eight thousand, eight hundred sixty-four".